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&#160;<span id="projectnumber">0.12.2.1</span>
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<a href="#func-members">Functions</a> &#124;
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<div class="textblock"><code>#include &lt;string.h&gt;</code><br />
<code>#include &quot;<a class="el" href="num_8h_source.html">num.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="field_8h_source.html">field.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="group_8h_source.html">group.h</a>&quot;</code><br />
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a6492f6aad16e545239c0ec52780d2e1f"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a6492f6aad16e545239c0ec52780d2e1f">secp256k1_ge_set_gej_zinv</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *zi)</td></tr>
<tr class="separator:a6492f6aad16e545239c0ec52780d2e1f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a34ab3d1a9a0a7ff0ed1cedff9db5f73c"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a34ab3d1a9a0a7ff0ed1cedff9db5f73c">secp256k1_ge_set_xy</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *x, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *y)</td></tr>
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<tr class="memitem:ac83592db46af97faf7ba9b9a39a1f6ff"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#ac83592db46af97faf7ba9b9a39a1f6ff">secp256k1_ge_is_infinity</a> (const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *a)</td></tr>
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<tr class="memitem:abcb34de0cfdf82a125e059f4f98de1d9"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#abcb34de0cfdf82a125e059f4f98de1d9">secp256k1_ge_neg</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *a)</td></tr>
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<tr class="memitem:aa511eebf8cd7419763f06555ed4fb62d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#aa511eebf8cd7419763f06555ed4fb62d">secp256k1_ge_set_gej</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a)</td></tr>
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<tr class="memitem:aea803cf52c0f33c2cb3bfb82d5790d71"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#aea803cf52c0f33c2cb3bfb82d5790d71">secp256k1_ge_set_gej_var</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a)</td></tr>
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<tr class="memitem:ada58b0cf328a74cfdd1f8b35083668a1"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#ada58b0cf328a74cfdd1f8b35083668a1">secp256k1_ge_set_all_gej_var</a> (size_t len, <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, const <a class="el" href="structsecp256k1__callback.html">secp256k1_callback</a> *cb)</td></tr>
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<tr class="memitem:a1cf9611464711ed63bde94d92ecc70de"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a1cf9611464711ed63bde94d92ecc70de">secp256k1_ge_set_table_gej_var</a> (size_t len, <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *zr)</td></tr>
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<tr class="memitem:a5391d63ab98be9202d5f14611133fe35"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a5391d63ab98be9202d5f14611133fe35">secp256k1_ge_globalz_set_table_gej</a> (size_t len, <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *globalz, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *zr)</td></tr>
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<tr class="memitem:a2c6b24a2db08260d89e891eab7035b2c"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a2c6b24a2db08260d89e891eab7035b2c">secp256k1_gej_set_infinity</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r)</td></tr>
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<tr class="memitem:a2454dfbe1e75eba118d2c0a4184a9acc"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a2454dfbe1e75eba118d2c0a4184a9acc">secp256k1_gej_clear</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r)</td></tr>
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<tr class="memitem:a34793cf48794f089bb28597d1a9f23b2"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a34793cf48794f089bb28597d1a9f23b2">secp256k1_ge_clear</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r)</td></tr>
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<tr class="memitem:a767d4255b822bcd84f84d9b440b3af86"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a767d4255b822bcd84f84d9b440b3af86">secp256k1_ge_set_xquad_var</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *x)</td></tr>
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<tr class="memitem:a3c3d9154b093bb4ed48ba55e4c28a0b5"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a3c3d9154b093bb4ed48ba55e4c28a0b5">secp256k1_ge_set_xo_var</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *x, int odd)</td></tr>
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<tr class="memitem:ad5f813e26afb239f03e83f0e61e05498"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#ad5f813e26afb239f03e83f0e61e05498">secp256k1_gej_set_ge</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *a)</td></tr>
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<tr class="memitem:aa32fc177f081f16d5979045d3632cf8b"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#aa32fc177f081f16d5979045d3632cf8b">secp256k1_gej_eq_x_var</a> (const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *x, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a)</td></tr>
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<tr class="memitem:af9194949a7aaf18aceab1dee73fe4027"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#af9194949a7aaf18aceab1dee73fe4027">secp256k1_gej_neg</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a)</td></tr>
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<tr class="memitem:a33786d5853579c92d46fac51f6a40093"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a33786d5853579c92d46fac51f6a40093">secp256k1_gej_is_infinity</a> (const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a)</td></tr>
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<tr class="memitem:aaf14c34acab0a279530f58c7e7d50749"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#aaf14c34acab0a279530f58c7e7d50749">secp256k1_gej_is_valid_var</a> (const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a)</td></tr>
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<tr class="memitem:a83600b0c4d8e95a8b2e730b4e2f207dc"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a83600b0c4d8e95a8b2e730b4e2f207dc">secp256k1_ge_is_valid_var</a> (const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *a)</td></tr>
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<tr class="memitem:a033aa434a4d0838f649ad757dd44db46"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a033aa434a4d0838f649ad757dd44db46">secp256k1_gej_double_var</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *rzr)</td></tr>
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<tr class="memitem:accf4e481cd660b1df01b4b90f5d28bb4"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="secp256k1_8h.html#a7ddc487fd46aee88f21cabedb7268b1e">SECP256K1_INLINE</a> void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#accf4e481cd660b1df01b4b90f5d28bb4">secp256k1_gej_double_nonzero</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *rzr)</td></tr>
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<tr class="memitem:a8df21f3ef7412e6c4d39fb67dc0140c6"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a8df21f3ef7412e6c4d39fb67dc0140c6">secp256k1_gej_add_var</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *b, <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *rzr)</td></tr>
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<tr class="memitem:a4d0338f50b08d082caa32f8e72707b55"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a4d0338f50b08d082caa32f8e72707b55">secp256k1_gej_add_ge_var</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *b, <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *rzr)</td></tr>
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<tr class="memitem:a180d4e54e906f101ce0f1e74563ce5f6"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a180d4e54e906f101ce0f1e74563ce5f6">secp256k1_gej_add_zinv_var</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *b, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *bzinv)</td></tr>
<tr class="separator:a180d4e54e906f101ce0f1e74563ce5f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a586b55d5921edcd68799f584c0a3c58d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a586b55d5921edcd68799f584c0a3c58d">secp256k1_gej_add_ge</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *a, const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *b)</td></tr>
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<tr class="memitem:a9ca39d1f8a0d1d833dc682f0fc318137"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a9ca39d1f8a0d1d833dc682f0fc318137">secp256k1_gej_rescale</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *s)</td></tr>
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<tr class="memitem:ad6499ae629f998e50d8614869ee3c67f"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#ad6499ae629f998e50d8614869ee3c67f">secp256k1_ge_to_storage</a> (<a class="el" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *r, const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *a)</td></tr>
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<tr class="memitem:a8c1e7f328284d9ba56404bb8d99bf765"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#a8c1e7f328284d9ba56404bb8d99bf765">secp256k1_ge_from_storage</a> (<a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *r, const <a class="el" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *a)</td></tr>
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<tr class="memitem:ae6d54bcae540118ce4190f457db78ca8"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="secp256k1_8h.html#a7ddc487fd46aee88f21cabedb7268b1e">SECP256K1_INLINE</a> void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#ae6d54bcae540118ce4190f457db78ca8">secp256k1_ge_storage_cmov</a> (<a class="el" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *r, const <a class="el" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *a, int flag)</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
Variables</h2></td></tr>
<tr class="memitem:ac2075a99877abe469ea60a119fe68e6c"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__impl_8h.html#ac2075a99877abe469ea60a119fe68e6c">secp256k1_ge_const_g</a></td></tr>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a34793cf48794f089bb28597d1a9f23b2">&#9670;&nbsp;</a></span>secp256k1_ge_clear()</h2>
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<td class="memname">static void secp256k1_ge_clear </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em></td><td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00162">162</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8c1e7f328284d9ba56404bb8d99bf765">&#9670;&nbsp;</a></span>secp256k1_ge_from_storage()</h2>
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<td class="memname">static void secp256k1_ge_from_storage </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<td></td>
<td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00604">604</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a5391d63ab98be9202d5f14611133fe35">&#9670;&nbsp;</a></span>secp256k1_ge_globalz_set_table_gej()</h2>
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<td class="memname">static void secp256k1_ge_globalz_set_table_gej </td>
<td>(</td>
<td class="paramtype">size_t&#160;</td>
<td class="paramname"><em>len</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>globalz</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>zr</em>&#160;</td>
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<td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00125">125</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ac83592db46af97faf7ba9b9a39a1f6ff">&#9670;&nbsp;</a></span>secp256k1_ge_is_infinity()</h2>
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<td class="memname">static int secp256k1_ge_is_infinity </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>a</em></td><td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00042">42</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a83600b0c4d8e95a8b2e730b4e2f207dc">&#9670;&nbsp;</a></span>secp256k1_ge_is_valid_var()</h2>
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<td class="memname">static int secp256k1_ge_is_valid_var </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>a</em></td><td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00239">239</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#abcb34de0cfdf82a125e059f4f98de1d9">&#9670;&nbsp;</a></span>secp256k1_ge_neg()</h2>
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<td class="memname">static void secp256k1_ge_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<td></td>
<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00046">46</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ada58b0cf328a74cfdd1f8b35083668a1">&#9670;&nbsp;</a></span>secp256k1_ge_set_all_gej_var()</h2>
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<td class="memname">static void secp256k1_ge_set_all_gej_var </td>
<td>(</td>
<td class="paramtype">size_t&#160;</td>
<td class="paramname"><em>len</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__callback.html">secp256k1_callback</a> *&#160;</td>
<td class="paramname"><em>cb</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00081">81</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa511eebf8cd7419763f06555ed4fb62d">&#9670;&nbsp;</a></span>secp256k1_ge_set_gej()</h2>
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<td class="memname">static void secp256k1_ge_set_gej </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<td></td>
<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00052">52</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aea803cf52c0f33c2cb3bfb82d5790d71">&#9670;&nbsp;</a></span>secp256k1_ge_set_gej_var()</h2>
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<td class="memname">static void secp256k1_ge_set_gej_var </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00065">65</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="recovery_2main__impl_8h_source.html#l00087">secp256k1_ecdsa_sig_recover()</a>, <a class="el" href="schnorr__impl_8h_source.html#l00106">secp256k1_schnorr_sig_verify()</a>, <a class="el" href="tests_8c_source.html#l01740">test_ge()</a>, and <a class="el" href="schnorr_2tests__impl_8h_source.html#l00050">test_schnorr_sign_verify()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a6492f6aad16e545239c0ec52780d2e1f">&#9670;&nbsp;</a></span>secp256k1_ge_set_gej_zinv()</h2>
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<td class="memname">static void secp256k1_ge_set_gej_zinv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>zi</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00026">26</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="ecmult__impl_8h_source.html#l00035">secp256k1_ecmult_odd_multiples_table()</a>, <a class="el" href="group__impl_8h_source.html#l00125">secp256k1_ge_globalz_set_table_gej()</a>, <a class="el" href="group__impl_8h_source.html#l00081">secp256k1_ge_set_all_gej_var()</a>, and <a class="el" href="group__impl_8h_source.html#l00107">secp256k1_ge_set_table_gej_var()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a1cf9611464711ed63bde94d92ecc70de">&#9670;&nbsp;</a></span>secp256k1_ge_set_table_gej_var()</h2>
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<td class="memname">static void secp256k1_ge_set_table_gej_var </td>
<td>(</td>
<td class="paramtype">size_t&#160;</td>
<td class="paramname"><em>len</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>zr</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00107">107</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c3d9154b093bb4ed48ba55e4c28a0b5">&#9670;&nbsp;</a></span>secp256k1_ge_set_xo_var()</h2>
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<td class="memname">static int secp256k1_ge_set_xo_var </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>odd</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00179">179</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a767d4255b822bcd84f84d9b440b3af86">&#9670;&nbsp;</a></span>secp256k1_ge_set_xquad_var()</h2>
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<td class="memname">static int secp256k1_ge_set_xquad_var </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00168">168</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="group__impl_8h_source.html#l00179">secp256k1_ge_set_xo_var()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a34ab3d1a9a0a7ff0ed1cedff9db5f73c">&#9670;&nbsp;</a></span>secp256k1_ge_set_xy()</h2>
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<td class="memname">static void secp256k1_ge_set_xy </td>
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<td class="paramname"><em>r</em>, </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00036">36</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae6d54bcae540118ce4190f457db78ca8">&#9670;&nbsp;</a></span>secp256k1_ge_storage_cmov()</h2>
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<td class="memname">static <a class="el" href="secp256k1_8h.html#a7ddc487fd46aee88f21cabedb7268b1e">SECP256K1_INLINE</a> void secp256k1_ge_storage_cmov </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *&#160;</td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>flag</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00610">610</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad6499ae629f998e50d8614869ee3c67f">&#9670;&nbsp;</a></span>secp256k1_ge_to_storage()</h2>
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<td class="memname">static void secp256k1_ge_to_storage </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00593">593</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a586b55d5921edcd68799f584c0a3c58d">&#9670;&nbsp;</a></span>secp256k1_gej_add_ge()</h2>
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<td class="memname">static void secp256k1_gej_add_ge </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<p>In: Eric Brier and Marc Joye, Weierstrass Elliptic Curves and Side-Channel Attacks. In D. Naccache and P. Paillier, Eds., Public Key Cryptography, vol. 2274 of Lecture Notes in Computer Science, pages 335-345. Springer-Verlag, 2002. we find as solution for a unified addition/doubling formula: lambda = ((x1 + x2)^2 - x1 * x2 + a) / (y1 + y2), with a = 0 for secp256k1's curve equation. x3 = lambda^2 - (x1 + x2) 2*y3 = lambda * (x1 + x2 - 2 * x3) - (y1 + y2).</p>
<p>Substituting x_i = Xi / Zi^2 and yi = Yi / Zi^3, for i=1,2,3, gives: U1 = X1*Z2^2, U2 = X2*Z1^2 S1 = Y1*Z2^3, S2 = Y2*Z1^3 Z = Z1*Z2 T = U1+U2 M = S1+S2 Q = T*M^2 R = T^2-U1*U2 X3 = 4*(R^2-Q) Y3 = 4*(R*(3*Q-2*R^2)-M^4) Z3 = 2*M*Z (Note that the paper uses xi = Xi / Zi and yi = Yi / Zi instead.)</p>
<p>This formula has the benefit of being the same for both addition of distinct points and doubling. However, it breaks down in the case that either point is infinity, or that y1 = -y2. We handle these cases in the following ways:</p>
<ul>
<li>If b is infinity we simply bail by means of a VERIFY_CHECK.</li>
<li>If a is infinity, we detect this, and at the end of the computation replace the result (which will be meaningless, but we compute to be constant-time) with b.x : b.y : 1.</li>
<li>If a = -b, we have y1 = -y2, which is a degenerate case. But here the answer is infinity, so we simply set the infinity flag of the result, overriding the computed values without even needing to cmov.</li>
<li>If y1 = -y2 but x1 != x2, which does occur thanks to certain properties of our curve (specifically, 1 has nontrivial cube roots in our field, and the curve equation has no x coefficient) then the answer is not infinity but also not given by the above equation. In this case, we cmov in place an alternate expression for lambda. Specifically (y1 - y2)/(x1 - x2). Where both these expressions for lambda are defined, they are equal, and can be obtained from each other by multiplication by (y1 + y2)/(y1 + y2) then substitution of x^3 + 7 for y^2 (using the curve equation). For all pairs of nonzero points (a, b) at least one is defined, so this covers everything.</li>
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<p>If lambda = R/M = 0/0 we have a problem (except in the "trivial" case that Z = z1z2 = 0, and this is special-cased later on). <br />
In case a-&gt;infinity == 1, replace r with (b-&gt;x, b-&gt;y, 1). </p>
<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00460">460</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4d0338f50b08d082caa32f8e72707b55">&#9670;&nbsp;</a></span>secp256k1_gej_add_ge_var()</h2>
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<td class="memname">static void secp256k1_gej_add_ge_var </td>
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<td class="paramtype"><a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>b</em>, </td>
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<td class="paramtype"><a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>rzr</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00354">354</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8df21f3ef7412e6c4d39fb67dc0140c6">&#9670;&nbsp;</a></span>secp256k1_gej_add_var()</h2>
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<td class="memname">static void secp256k1_gej_add_var </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>b</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>rzr</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00301">301</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a180d4e54e906f101ce0f1e74563ce5f6">&#9670;&nbsp;</a></span>secp256k1_gej_add_zinv_var()</h2>
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<td class="memname">static void secp256k1_gej_add_zinv_var </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>bzinv</em>&#160;</td>
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<p>We need to calculate (rx,ry,rz) = (ax,ay,az) + (bx,by,1/bzinv). Due to secp256k1's isomorphism we can multiply the Z coordinates on both sides by bzinv, and get: (rx,ry,rz*bzinv) = (ax,ay,az*bzinv) + (bx,by,1). This means that (rx,ry,rz) can be calculated as (ax,ay,az*bzinv) + (bx,by,1), when not applying the bzinv factor to rz. The variable az below holds the modified Z coordinate for a, which is used for the computation of rx and ry, but not for rz.</p>
<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00403">403</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2454dfbe1e75eba118d2c0a4184a9acc">&#9670;&nbsp;</a></span>secp256k1_gej_clear()</h2>
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<td class="memname">static void secp256k1_gej_clear </td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00155">155</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#accf4e481cd660b1df01b4b90f5d28bb4">&#9670;&nbsp;</a></span>secp256k1_gej_double_nonzero()</h2>
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<td class="memname">static <a class="el" href="secp256k1_8h.html#a7ddc487fd46aee88f21cabedb7268b1e">SECP256K1_INLINE</a> void secp256k1_gej_double_nonzero </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramtype"><a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>rzr</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00296">296</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a033aa434a4d0838f649ad757dd44db46">&#9670;&nbsp;</a></span>secp256k1_gej_double_var()</h2>
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<td class="memname">static void secp256k1_gej_double_var </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
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<td class="paramtype"><a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
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<p>For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity, Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p.</p>
<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00253">253</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="group__impl_8h_source.html#l00354">secp256k1_gej_add_ge_var()</a>, <a class="el" href="group__impl_8h_source.html#l00301">secp256k1_gej_add_var()</a>, <a class="el" href="group__impl_8h_source.html#l00403">secp256k1_gej_add_zinv_var()</a>, and <a class="el" href="group__impl_8h_source.html#l00296">secp256k1_gej_double_nonzero()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa32fc177f081f16d5979045d3632cf8b">&#9670;&nbsp;</a></span>secp256k1_gej_eq_x_var()</h2>
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<td class="memname">static int secp256k1_gej_eq_x_var </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00198">198</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a33786d5853579c92d46fac51f6a40093">&#9670;&nbsp;</a></span>secp256k1_gej_is_infinity()</h2>
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<td class="memname">static int secp256k1_gej_is_infinity </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00215">215</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="group__impl_8h_source.html#l00296">secp256k1_gej_double_nonzero()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aaf14c34acab0a279530f58c7e7d50749">&#9670;&nbsp;</a></span>secp256k1_gej_is_valid_var()</h2>
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<td class="memname">static int secp256k1_gej_is_valid_var </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
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<p>y^2 = x^3 + 7 (Y/Z^3)^2 = (X/Z^2)^3 + 7 Y^2 / Z^6 = X^3 / Z^6 + 7 Y^2 = X^3 + 7*Z^6</p>
<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00219">219</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="tests_8c_source.html#l02208">run_point_times_order()</a>, and <a class="el" href="tests_8c_source.html#l02173">test_point_times_order()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#af9194949a7aaf18aceab1dee73fe4027">&#9670;&nbsp;</a></span>secp256k1_gej_neg()</h2>
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<td class="memname">static void secp256k1_gej_neg </td>
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<td class="paramtype"><a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00206">206</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a9ca39d1f8a0d1d833dc682f0fc318137">&#9670;&nbsp;</a></span>secp256k1_gej_rescale()</h2>
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<td class="memname">static void secp256k1_gej_rescale </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__fe.html">secp256k1_fe</a> *&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00582">582</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad5f813e26afb239f03e83f0e61e05498">&#9670;&nbsp;</a></span>secp256k1_gej_set_ge()</h2>
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<td class="memname">static void secp256k1_gej_set_ge </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00191">191</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="group__impl_8h_source.html#l00354">secp256k1_gej_add_ge_var()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2c6b24a2db08260d89e891eab7035b2c">&#9670;&nbsp;</a></span>secp256k1_gej_set_infinity()</h2>
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<td class="memname">static void secp256k1_gej_set_infinity </td>
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<td class="paramtype"><a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>r</em></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00148">148</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
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<h2 class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ac2075a99877abe469ea60a119fe68e6c">&#9670;&nbsp;</a></span>secp256k1_ge_const_g</h2>
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<td class="memname">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> secp256k1_ge_const_g</td>
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<b>Initial value:</b><div class="fragment"><div class="line">= <a class="code" href="group_8h.html#adb0cb248ca6d0aabe3a82423233e6ce3">SECP256K1_GE_CONST</a>(</div><div class="line"> 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,</div><div class="line"> 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,</div><div class="line"> 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,</div><div class="line"> 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL</div><div class="line">)</div><div class="ttc" id="group_8h_html_adb0cb248ca6d0aabe3a82423233e6ce3"><div class="ttname"><a href="group_8h.html#adb0cb248ca6d0aabe3a82423233e6ce3">SECP256K1_GE_CONST</a></div><div class="ttdeci">#define SECP256K1_GE_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p)</div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00020">group.h:20</a></div></div>
</div><!-- fragment --><p>Generator for secp256k1, value 'g' defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. </p>
<p class="definition">Definition at line <a class="el" href="group__impl_8h_source.html#l00019">19</a> of file <a class="el" href="group__impl_8h_source.html">group_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="tests_8c_source.html#l02300">ecmult_const_chain_multiply()</a>, <a class="el" href="tests_8c_source.html#l02257">ecmult_const_commutativity()</a>, <a class="el" href="tests_8c_source.html#l02636">run_ec_pubkey_parse_test()</a>, <a class="el" href="ecmult__impl_8h_source.html#l00147">secp256k1_ecmult_context_build()</a>, <a class="el" href="ecmult__gen__impl_8h_source.html#l00159">secp256k1_ecmult_gen_blind()</a>, <a class="el" href="ecmult__gen__impl_8h_source.html#l00021">secp256k1_ecmult_gen_context_build()</a>, <a class="el" href="tests_8c_source.html#l02451">test_ecmult_constants()</a>, and <a class="el" href="tests_8c_source.html#l02173">test_point_times_order()</a>.</p>
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